The weights of boxes of candies produced in a factory are normally distributed with a mean weight of 16 oz and a standard deviation of 1 oz. What is the weight of a box of candies with a z-score of 2?

16 oz
18 oz
20 oz
22 oz

how many std above the mean is Z=2?

That's how many oz. more than 16 is the box.

20

To find the weight of a box of candies with a given z-score, we can use the formula:

Weight = Mean + (z-score * Standard Deviation)

Given that the mean weight is 16 oz and the standard deviation is 1 oz, and the z-score is 2, we can substitute these values into the formula:

Weight = 16 + (2 * 1)
Weight = 16 + 2
Weight = 18 oz

Therefore, the weight of a box of candies with a z-score of 2 is 18 oz.